Research Article
Decoupled Sliding Mode Control for a Multivariable Nonlinear System
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 55 - Issue 6 |
| Published: October 2012 |
| Authors: Fayez G. Areed, Mohamed A. Badr, Sabry F. Saraya, Mohammed S. Elksasy, Mohamed M. Abdelsalam |
10.5120/8760-2674
|
Fayez G. Areed, Mohamed A. Badr, Sabry F. Saraya, Mohammed S. Elksasy, Mohamed M. Abdelsalam . Decoupled Sliding Mode Control for a Multivariable Nonlinear System. International Journal of Computer Applications. 55, 6 (October 2012), 25-32. DOI=10.5120/8760-2674
@article{ 10.5120/8760-2674,
author = { Fayez G. Areed,Mohamed A. Badr,Sabry F. Saraya,Mohammed S. Elksasy,Mohamed M. Abdelsalam },
title = { Decoupled Sliding Mode Control for a Multivariable Nonlinear System },
journal = { International Journal of Computer Applications },
year = { 2012 },
volume = { 55 },
number = { 6 },
pages = { 25-32 },
doi = { 10.5120/8760-2674 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A Fayez G. Areed
%A Mohamed A. Badr
%A Sabry F. Saraya
%A Mohammed S. Elksasy
%A Mohamed M. Abdelsalam
%T Decoupled Sliding Mode Control for a Multivariable Nonlinear System%T
%J International Journal of Computer Applications
%V 55
%N 6
%P 25-32
%R 10.5120/8760-2674
%I Foundation of Computer Science (FCS), NY, USA
Abstract
This paper presents a decoupled control strategy using time-varying sliding surface-based Sliding Mode Controller (SMC) for a multivariable nonlinear system as an Ammonia Reactor system. The decoupled method provides a simple way to achieve asymptotic stability by dividing the system into three subsystems. Simulation results are presented for SMC comparing with a traditional PID controller. Then , the system is subjected to temperature disturbance to demonstrate the effectiveness and robustness of the controller.
References
- L. Hung and H. Chung, "Decoupled sliding-mode with fuzzy-neural network controller for nonlinear systems" International Journal of Approximate Reasoning 46 (2007) 74–97.
- V. I. Utkin, "Variable structure systems with sliding mode": A survey, IEEE Transaction on Automatic Control 22 (1977) 212–222.
- M. Chan, C. Tao and T. Lee, "Sliding mode controller for linear systems with mismatched time-varying uncertainties", Journal Franklin Inst. 337 (2) (2000) 105–115.
- M. Falahpoor, M. Ataei and A. Kiyoumarsi, " A chattering-free sliding mode control design for uncertain chaotic systems", Chaos Solitons and Fractals 42 (2009) 1755–1765 .
- G. Bartolini , E. Punta and T. Zolezzi, " Simplex sliding mode methods for the chattering reduction control of multi-input nonlinear uncertain systems", Automatica 45 (2009) 1923-1928.
- D. Khadija, L. Majda and N. Said, "New Discrete Sliding Mode Control for Nonlinear Multivariable Systems: Multi-Periodic Disturbances Rejection and Stability Analysis ", International Journal of Control Science and Engineering 2(2) (2012) 7-15.
- S. Frikha, M. Djemel and N. Derbel, "Adaptive Neuro-Sliding Mode Control for Multivariable Nonlinear Systems with State Observer", International Journal of Computational Cognition 8( 2) (2010) 9-16.
- L. Hsu, R. Costa, and J. Paulo, "Model-Reference Output-Feedback Sliding Mode Controller for A Class of Multivariable Nonlinear Systems", Asian Journal of Control 5 (4) (2003) 543-556.
- K. Kim and Y. Park, " Parametric Approaches to Sliding Mode Design for Linear Multivariable System", International Journal of Control, Automation and System 1 (1) (2003) 11-18.
- O. Boubaker, J. babary and M. Ksouri, " MIMO Sliding Mode Control of a Distributed Parameter Denitrifying Biofilter", Applied Mathematical Modeling 25 (2001) 671-682.
- T. Wua, J. Wangb and Y. Juang ,"Decoupled integral variable structure control for MIMO systems", Journal of the Franklin Institute 344 (2007) 1006–1020.
- F. Yorgancioglu and H. Komurcugil," Decoupled sliding-mode controller based on time-varying sliding surfaces for fourth-order systems", Expert Systems with Applications 37 (2010) 6764–6774.
- D. Khadija, L. Majda and N. Said, "New Discrete Sliding Mode Control for Nonlinear Multivariable Systems: Multi-Periodic Disturbances Rejection and Stability Analysis ", International Journal of Control Science and Engineering 2(2) (2012) 7-15.
- J. Morud and S. Skogestad, " Analysis of Instability in an Industrial Ammonia Reactor", AIChE Journal 44 (4) (1998) 888- 895.
- R. Angira, "Simulation and Optimization of an Auto-Thermal Ammonia Synthesis Reactor", International Journal of Chemical Reactor Engineering 9 (A7) (2011), ISSN 1542-6580, The Berkeley Electronic Press.
- A. Murase, H. Roberts and A. Converse, "Optimal Thermal Design of an Auto thermal Ammonia Synthesis Reactor", Industrial & Engineering Chemistry Process Design Development, 9(4) (1970), pp. 503- 513.
- C. Singh and D. Saraf, "Simulation of Ammonia Synthesis Reactors", Industrial & Engineering Chemistry Process Design Development,18(3) (1979), pp. 364-370.
- R. Baddour, P. Brian, B. Logeais and J. Eymery, "Steady-state simulation of an ammonia synthesis converter", Chemical Engineering Science, 20 (1965), pp. 281-292.
- T. Mohammad . and K. Azam , "The Optimization of an Ammonia Synthesis Reactor Using Genetic Algorithm", International Journal of Chemical Reactor Engineering 6 (A113) (2008), ISSN 1542-6580, The Berkeley Electronic Press.
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